The blue line of best fit for boys intersects the vertical axis at 55 centimeters and the point (12.5, 70). What equation best describes the boy's line of best fit?
you have two points: (0,55) and (12.5,70). The slope of that line is 15/12.5 = 1.2
y = 1.2x + 55
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To find the equation for the line of best fit, we need to determine its slope and y-intercept.
The slope of a line can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, we already have two points on the line (12.5, 70) and (0, 55). Let's calculate the slope:
slope = (70 - 55) / (12.5 - 0) = 15 / 12.5 = 1.2
Now that we have the slope, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (12.5, 70) as our known point, the equation becomes:
y - 70 = 1.2(x - 12.5)
Now we simplify the equation:
y - 70 = 1.2x - 15
To get the equation in standard form, we move "1.2x" to the left side:
-1.2x + y = 70 - 15
Simplifying further:
-1.2x + y = 55
And finally, we can multiply every term by -1 to make the coefficient of x positive:
1.2x - y = -55
Therefore, the equation that best describes the boy's line of best fit is 1.2x - y = -55.
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